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Finding the Fourth Proportional to 709,030.59, 978,475.42 and 386,752.24

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Solution

The fourth proportional to 709,030.59, 978,475.42 and 386,752.24 is: 533,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,030.59 : 978,475.42 = 386,752.24 : x
  2. Step 2: Convert to fraction form
    709,030.59/978,475.42 = 386,752.24/x
  3. Step 3: Cross multiply
    709,030.59x = 978,475.42 × 386,752.24
  4. Step 4: Simplify right side
    709,030.59x = 378,427,560,469.94
  5. Step 5: Solve for x
    x = 378,427,560,469.94/709,030.59
  6. Step 6: Final answer
    x = 533,725.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.